Slow quench dynamics of a one-dimensional Bose gas confined to an optical lattice

We analyze the effect of a linear time variation of the interaction strength on a trapped one-dimensional Bose gas confined to an optical lattice. The evolution of different observables such as the experimentally accessible on site particle distribution are studied as a function of the ramp time by using time-dependent numerical techniques. We find that the dynamics of a trapped system typically displays two regimes: For long ramp times, the dynamics is governed by density redistribution, while at short ramp times, local dynamics dominates as the evolution is identical to that of an homogeneous system. In the homogeneous limit, we also discuss the nontrivial scaling of the energy absorbed with the ramp time.     

Formation dynamics of a fermion pair condensate

The dynamics of pair condensate formation in a strongly interacting Fermi gas close to a Feshbach resonance was studied. We employed a phase-shift method in which the delayed response of the many-body system to a modulation of the interaction strength was recorded. The observable was the fraction of condensed molecules in the cloud after a rapid magnetic field ramp across the Feshbach resonance. The measured response time was slow compared to the rapid ramp, which provides final proof that the molecular condensates reflect the presence of fermion pair condensates before the ramp.     

来流边界层效应下斜坡诱导的斜爆轰波

以超声速预混气中的斜爆轰波为研究对象,对其在来流边界层效应下的特性进行了实验研究.在马赫数为3的超声速预混风洞中,通过斜坡诱导产生了斜爆轰波.当来流的当量比较低时,预混气中产生的是化学反应锋面与激波面非耦合的激波诱导燃烧现象.此时边界层分离区中的化学反应放热将使分离区尺度显著增大,流场非定常性显著增强,激波位置剧烈振荡.当来流的当量比较高时,预混气将产生斜爆轰波.此时边界层分离区会影响到斜爆轰波起爆时的形态.在小尺度分离区下,斜爆轰波起爆时呈突跃结构(有横波);在中等尺度分离区下,流场固有的非定常性使斜爆轰波呈间歇突跃结构;在大尺度分离区下,斜爆轰波起爆则呈完全的平滑结构(无横波).     

Effects of ramp vibrational states on flexural intrinsic vibrations in Besocke-style scanners

For both the vibrating and steady supporting surfaces of a scanning disk in a Besocke-style piezoelectric scanner, a theoretical model is given by considering the nonlinear lateral friction at the micro-contact interface between the positioning legs and the supporting surface. Numerical simulations demonstrate that unexpected flexural vibrations can arise from a vibrating ramp, and their frequencies are lower than the eigenfrequencies of the scanner in the linearly elastic regime. The vibrations essentially depend on 1） the vibrational states of the supporting ramp and the steel ball tips on the three piezo- electric positioning legs, and 2） the tribological characteristics of the contacts between the tips and the ramp. The results give an insight into the intrinsic vibrations of the scanners, and are applicable in designing and optimizing piezoelectric scanning systems.     

Force spectroscopy of single multidomain biopolymers: A master equation approach

Experiments using atomic force microscopy for unfolding single multidomain biopolymers cover a broad range of time scales from equilibrium to non-equilibrium. A master equation approach allows to identify and treat coherently three dynamical regimes for increasing linear ramp velocity: i) an equilibrium regime, ii) a transient regime where refolding events still occur, and iii) a saw-tooth regime without any refolding events. For each regime, analytical approximations are derived and compared to numerically investigated examples. We analyze in the framework of this model also a periodic experimental protocol instead of a linear ramp. In this case, a major simplification arises if the dynamics can be restricted to an effectively two-dimensional subspace. For transitions with an intermediate meta-stable state, like Immunoglobulin27, a refined model allows to extract previously unknown molecular parameters related to this meta-stable state.     

Break up of bound-N-spatial-soliton in a ramp waveguide

We present an analytical and numerical investigation of the propagation of spatial solitons in a nonlinear waveguide with ramp linear refractive index profile (ramp waveguide). For the propagation of a single soliton beam in a ramp waveguide, the particle theory shows that the soliton beam follows a parabolic curve in the region where the linear refractive index increases and a straight line outside the waveguide. The acceleration of the soliton depends on the beam intensity: higher amplitude solitons experience higher acceleration. Numerical calculations using an implicit Crank–Nicolson scheme confirm the result of the particle theory. Combining these propagation properties with the theory about bound-N-soliton, we study the break up of such a bound-N-soliton in a ramp waveguide. In a ramp waveguide, a bound-N-soliton will always be splitted into N independent solitons with the higher amplitude soliton emitted first. The amplitude of the separated solitons after break up are calculated using the soliton theory as if the solitons are independent. Numerical simulations show that the results agree quite well with this theoretical prediction, indicating that the interaction during break up has only little influence.     

Break up of bound-N-spatial-soliton in a ramp waveguide

We present an analytical and numerical investigation of the propagation of spatial solitons in a nonlinear waveguide with ramp linear refractive index profile (ramp waveguide). For the propagation of a single soliton beam in a ramp waveguide, the particle theory shows that the soliton beam follows a parabolic curve in the region where the linear refractive index increases and a straight line outside the waveguide. The acceleration of the soliton depends on the beam intensity: higher amplitude solitons experience higher acceleration. Numerical calculations using an implicit Crank-Nicolson scheme confirm the result of the particle theory. Combining these propagation properties with the theory about bound-N-soliton, we study the break up of such a bound-N-soliton in a ramp waveguide. In a ramp waveguide, a bound-N-soliton will always be splitted intoN independent solitons with the higher amplitude soliton emitted first. The amplitude of the separated solitons after break up are calculated using the soliton theory as if the solitons are independent. Numerical simulations show that the results agree quite well with this theoretical prediction, indicating that the interaction during break up has only little influence. On Leave from Jurusan Matematika, Universitas Brawijaya, Jl. MT Haryono 167 Malang Indonesia.     

Traffic flow prediction based on BILSTM model and data denoising scheme

Accurate prediction of road traffic flow is a significant part in the intelligent transportation systems. Accurate prediction can alleviate traffic congestion, and reduce environmental pollution. For the management department, it can make effective use of road resources. For individuals, it can help people plan their own travel paths, avoid congestion, and save time. Owing to complex factors on the road, such as damage to the detector and disturbances from environment, the measured traffic volume can contain noise. Reducing the influence of noise on traffic flow prediction is a piece of very important work. Therefore, in this paper we propose a combination algorithm of denoising and BILSTM to effectively improve the performance of traffic flow prediction. At the same time, three denoising algorithms are compared to find the best combination mode. In this paper, the wavelet (WL) denoising scheme, the empirical mode decomposition (EMD) denoising scheme, and the ensemble empirical mode decomposition (EEMD) denoising scheme are all introduced to suppress outliers in traffic flow data. In addition, we combine the denoising schemes with bidirectional long short-term memory (BILSTM) network to predict the traffic flow. The data in this paper are cited from performance measurement system (PeMS). We choose three kinds of road data (mainline, off ramp, on ramp) to predict traffic flow. The results for mainline show that data denoising can improve prediction accuracy. Moreover, prediction accuracy of BILSTM+EEMD scheme is the highest in the three methods (BILSTM+WL, BILSTM+EMD, BILSTM+EEMD). The results for off ramp and on ramp show the same performance as the results for mainline. It is indicated that this model is suitable for different road sections and long-term prediction.     

Perturbed Arcs in Turbulent Axial Gas Flow IV. Thermal Reignition Experiments

By means of the short-circuiting of electric arcs burning in turbulent axial gas coolant flow and their reaction on a (recovering) voltage ramp the reignition in circuit breakers is modelled. Strong stochasticity of thermal reignition is demonstrated even under relatively weak conditions. Channels or nozzles showing flow detachment are further deteriorated by that. Corresponding low-current test experiments are recommended for in-scale circuit breaker development tests.     

Condensation of pairs of fermionic atoms near a Feshbach resonance

We have observed Bose-Einstein condensation of pairs of fermionic atoms in an ultracold 6Li gas at magnetic fields above a Feshbach resonance, where no stable 6Li2 molecules would exist in vacuum. We accurately determined the position of the resonance to be 822+/-3 G. Molecular Bose-Einstein condensates were detected after a fast magnetic field ramp, which transferred pairs of atoms at close distances into bound molecules. Condensate fractions as high as 80% were obtained. The large condensate fractions are interpreted in terms of preexisting molecules which are quasistable even above the two-body Feshbach resonance due to the presence of the degenerate Fermi gas.     

光电阴极碱源材料放气成分质谱分析

用四级滤质器对光电阴极碱源材料放气成分进行质谱分析，给出分析结果，并讨论所放出的有害气体对制备光电阴极带来的影响。     

Nitric oxide delivery by ultrasonic cracking: some limitations

Nitric oxide (NO) has been implicated in smooth muscle relaxation. Its use has been widespread in cardiology. Due to the effective scavenging of NO by hemoglobin, however, the drug has to be applied locally or in large quantities, to have the effect desired. We propose the use of encapsulated microbubbles that act as a vehicle to carry the gas to a region of interest. By applying a burst of high-amplitude ultrasound, the shell encapsulating the gas can be cracked. Consequently, the gas is released upon which its dissolution and diffusion begins. This process is generally referred to as (ultra)sonic cracking. To test if the quantities of released gas are high enough to allow for NO-delivery in small vessels (?<200 microm), we analyzed high-speed optical recordings of insonified stiff-shelled microbubbles. These microbubbles were subjected to ultrasonic cracking using 0.5 or 1.7 MHz ultrasound with mechanical index MI>0.6. The mean quantity released from a single microbubble is 1.7 fmol. This is already more than the NO production of a 1mm long vessel with a 50 microm diameter during 100 ms. However, we simulated that the dissolution time of typical released NO microbubbles is equal to the half-life time of NO in whole blood due to scavenging by hemoglobin (1.8 ms), but much smaller than the extravascular half-life time of NO (>90 ms). We conclude that ultrasonic cracking can only be a successful means for nitric oxide delivery, if the gas is released in or near the red blood cell-free plasma next to the endothelium. A complicating factor in the in vivo situation is the variation in blood pressure. Although our simulations and acoustic measurements demonstrate that the dissolution speed of free gas increases with the hydrostatic pressure, the in vitro acoustic amplitudes suggest that the number of released microbubbles decreases at higher hydrostatic pressures. This indicates that ultrasonic cracking mostly occurs during the expansion phase.     

高速公路入匝控制的一个元胞自动机模型

采用元胞自动机模型研究高速公路入匝控制问题. 利用主路上测定区域内的车辆数设计了一种新型入匝信号控制方法,模拟分析了各种参数对主路和匝道交通的影响. 结果表明,设置匝道信号灯可以保证主路交通畅通,尤其是匝道处的车辆到达率比较高时效果非常明显. 测定区域位置、抑制入匝车流量以及并道区长度的不同组合可以导致不同的主路和匝道交通流,合理搭配这三个参数可以兼顾主路和匝道的流量和通行时间.测定区域应该设置在并道段前或并道段上游的适当位置. 关键词： 交通流 元胞自动机 入匝控制 并道规则     

Experimental study of detonating gas bubble oscillations using a shock tube

Oscillations of bubbles containing a mixture of a detonating gas with argon in their interior are studied. The bubbles are excited for oscillations by a pressure step generated in a shock tube. A bubble wall motion is observed by a rotating mirror camera and a radiated pressure wave by a needle hydrophone. For weak pressure steps the bubble behaves as an ordinary gas bubble. However, above a certain pressure step threshold ignition of the detonating gas occurs. Due to released heat the bubble oscillation intensity is amplified. The data obtained are used to estimate pressures and temperatures in the compressed bubble.The experimental part of this research was carried out during the author's stay at the Shock Wave Laboratory of the Technical University in Aachen. The author wishes to thank Professor A. E. Beylich for enabling him to do this work, and H. Kleine for taking all the photographs. The author is also grateful to Dr. K. Hel for helpful discussion on the ignition of gas mixtures. During this research the author was the recipient of a grant awarded by the Heinrich Hertz Foundation, which is gratefully acknowledged.     

从一维光晶格中释放的任意子噪声关联函数研究

首先求解具有delta函数型相互作用的任意子气体的含时薛定谔方程,给出了其多体波函数的解析解,并在此基础上详细分析了无相互作用情形和有相互作用情形下任意子噪声关联函数的特性。对于有相互作用的任意子气体,其噪声关联呈现出与无相互作用情形下不同的特性：散射相位具有一定的空间分布,一系列线性而不是尖峰出现在噪声关联函数中;线性的宽度、取向以及位置与任意子的统计参数和粒子间相互作用强度的关系都非常密切。特别地,在TG极限下,也就是相互作用趋于无限大的情形下,任意子的噪声关联函数图样与无相互作用情形下的图样完全相反。     

从一维光晶格中释放的任意子噪声关联函数研究

首先求解具有delta函数型相互作用的任意子气体的含时薛定谔方程,给出了其多体波函数的解析解,并在此基础上详细分析了无相互作用情形和有相互作用情形下任意子噪声关联函数的特性.对于有相互作用的任意子气体,其噪声关联呈现出与无相互作用情形下不同的特性:散射相位具有一定的空间分布,一系列线性而不是尖峰出现在噪声关联函数中;线性的宽度、取向以及位置与任意子的统计参数和粒子间相互作用强度的关系都非常密切.特别地,在TG极限下,也就是相互作用趋于无限大的情形下,粒子间散射相位变为,任意子的噪声关联函数图样与无相互作用情形下的图样完全相反.     

Search for nucleon resonances of mass up to 8.5 GeV

Missing mass spectra were obtained by measuring recoil protons from the reaction p+p→p+X in the Jacobian peak region. Data were taken during the acceleration ramp of the Fermilab machine using an internal hydrogen gas jet target. We observe the well known N¹(1688) and N¹(2190) resonances but no significant structures at higher mass.     

激光器特性在痕量气体检测中的影响

研究了激光器扫描步长和线宽两种特性对可调谐半导体激光吸收光谱检测系统的影响,理论上推导出激光与气体吸收谱线的作用原理,分析出扫描信号(锯齿波)的台阶间隔和高度影响激光器中心波长的扫描原理.设定了仿真参数,仿真出锯齿波台阶数与最大扫描误差关系曲线,得出扫描信号的一个周期内具有4000个台阶时,半高全宽(FWHM)大于0.01 cm-1,误差小于1‰;仿真出激光器线宽与最大幅值、线宽误差关系曲线,给出线宽误差最大为1%,0.5%时激光器线宽对应的最小FWHM.在温度系数n取0.9,大气展宽系数γair取0.005的条件下,给出温度T,压强P与FWHM关系图,推出了适用的压强与温度范围.为指导选取激光器与气体吸收谱线、提高系统检测限提供了相关理论依据.     

压缩拐角流动中G?rtler涡特性及热流分布实验研究

对高超声速压缩拐角流动中G?rtler涡特性及热流分布进行了实验研究.开发了温敏漆（temperature sensitive paint,TSP）系统,简要介绍了TSP技术的原理、文章所用的TSP涂料的标定曲线、辅助设备参数、实验过程数据后处理过程,采用基于离散Fourier定律的热流算法.研究在Ma=6低噪声风洞中进行,采用TSP技术,得到压缩拐角斜坡板上的热流分布图像,并对高低热流条带现象做出解释,与G?rtler涡有对应关系.通过改变拐角角度及来流参数,获得了不同拐角和单位Reynolds数条件下的热流分布图像,分析得到压缩拐角斜坡上G?rtler涡特性及热流分布在变参数条件下的变化规律.研究发现:当增加拐角角度或增大单位Reynolds数时,G?rtler涡的波长减小,且涡的起始位置更靠近拐角;随单位Reynolds数增加,斜坡上热流值整体增加,热流峰值位置前移;峰值位置后,热流缓慢减小的区域与G?rtler涡位置相对应.      

Absorption line profile recovery based on TDLS and MEMS micro-mirror for photoacoustic gas sensing

A novel and efficient absorption line recovery technique is presented. A micro-electromechanical systems (MEMS) mirror driven by an electrothermal actuator is used to generate laser intensity modulation through the mirror reflection. Tunable diode laser spectroscopy (TDLS) and photoacoustic spectroscopy (PAS) are used to recover the target absorption line profile which is compared with the theoretical Voigt profile. The target gas is 0.01% acetylene (C2H2) in a nitrogen host gas. The laser diode wavelength is swept across the P17 absorption line of acetylene at 1535.4 nm by a current ramp, and an erbium-doped fibre amplifier (EDFA) is used to enhance the optical intensity and increase the signal-to-noise ratio (SNR). A SNR of about 35 is obtained with 100 mW laser power from the EDFA. Good agreement is achieved between the experimental results and the theoretical simulation for the P17 absorption line profile.